MaryLIT
25.05.2021 •
Mathematics
What is the distance between the bank and hiroto house on the map? Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
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Ответ:
Let's assume CD=h, BD=x.
tan 24°=h/x ==>h=x*tan 24°
tan 16°=h/(7600+x)==>h=tan 16° *(7600+x)
==>x tan 24°=tan 16°*(7600+x)
==>x=(7600*tan 16°)/(tan 24°-tan 16°)
h=x*tan 24= (7600*tan 16°*tan 24°)/(tan 24°-tan16°)
b) CD=h=6122,2303...≈6122 (feet)
a) BC=h/sin 24°=15052,0746448...≈15052 (feet)
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